MEGA

TABLE

Medium
Assumptions Testing
SPSS
Free

A student runs a hierarchical regression in SPSS predicting job performance from Step 1: conscientiousness, Step 2: stress, Step 3: conscientiousness × stress (moderation). They center conscientiousness and stress first. SPSS shows:

  • Model 3: VIFs are 1.4 (conscientiousness), 1.6 (stress), 1.3 (interaction)
  • Condition Index peaks at 12
  • ΔR² from Step 2 to Step 3 is significant Which assumption-related conclusion is MOST appropriate?
A

Multicollinearity is a serious problem because interaction terms always cause VIF > 10, so the moderation result is invalid.

B

Multicollinearity does not appear severe; centering helped, and the significant ΔR² supports adding the interaction for moderation.

C

Because ΔR² is significant, normality and homoscedasticity assumptions are automatically satisfied.

D

A Condition Index of 12 proves perfect independence of errors, so no further assumption checks are needed.